One of the best things about 1980s action and adventure movies was the optimism and gung ho attitude that they gave off. A society propelled forward at relentless pace by science and technology being used for the good of all, and when opportunities were limitless...
Awesome scene from RAISE THE TITANIC (1980)
In the far future, this feat MAY be able to be accomplished, given how technology can evolve at unpredictable trajectories. Even though the wreck is in two pieces, imagine a vast army of small but powerful robot craft slowly tunneling under the entire region of the wreck and filling the void with a semiliquid hi tech nanoparticle film that is stronger than concrete and able to repair itself immediately in case of tear. Then the drones, along with hundreds of thrusters mounted along the edge of the vast tarp, starts propelling upward, lifting several acres of rectangular seafloor real estate upward in synchronized precision with the entire wreck in the middle, to then be escorted to a vast submarine hangar-turned research facility to be documented, before completing it's final journey to a museum and memorial building dedicated to the ship...